simplify (x^2+3)^2-(x^2-1)^2

Answers

Answer 1

Answer:

Simplify the expression.

8x² + 8

Answer 2

Answer:

8(x^2 +1)

Step-by-step explanation:

(x^2 + 3)^2 - (x^2 - 1)^2

(x^2 + 3 - (x^2-1)) • (x^2 + 3 + (x^2 - 1))

(x^2 + 3 - x^2 + 1) • (x^2 + 3 + (x^2 - 1)

(3 + 1) • (x^2 + 3 + x^2 - 1)

4(2x^2 + 1)

4 • 2(x^2 + 1)

8(x^2 +1)


Related Questions

Please explain in detail with a proper answer.

A pair of dice is rolled. If you know one of the dies shows a 5, what is the probabiility that the sum is 8.

Answers

Answer:

5/36

Step-by-step explanation:

So a pair of dice is rolled. 2 dices. A dice has 6 numbers (1,2,3,4,5,6).

Now draw a sample space.

 1  2  3  4  5  6

1 2  3  4  5  6  7

2 3  4  5  6  7  8

3 4  5  6  7  8  9

4 5  6  7  8  9  10

5 6  7  8  9  10  11

6 7  8  9  10  11  12

It's asking for SUM, so we plus. Thats why you see this.

So look for all the 8's in the sample space. Theres one in (6,2), (5,3), (4,4), (3,5) and (2,6). Thats 5. We divide that with the total. The total is 36 because there are 36 possible values. so 5/36

As ____ increases, ___ tends to increase/decrease

Answers

Answer:

what is the context? i dont understand what is increasing/ decreasing pls elaborate more!!

Step-by-step explanation:

Please help asap! Due tonight!

Answers

Answer:

A, [tex]\sqrt{17}[/tex]

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 9^2

64 + b^2 = 81

b^2 = 17

b = [tex]\sqrt{17}[/tex]

Answer:

by pythagoras theorem

9² = 8² + x²

x² = 81 - 64

x² = 17

x = root 17

option A

Can u pls find the center of dilation for this point!!

Answers

Answer:

Q² (R³,S)

Step-by-step explanation:

Please answer if you actually know

√24b^3 • √40b^2 • b^2

Thank you

Answers

Answer:

[tex](8\sqrt{15}).b^{\frac{9}{2} }[/tex]

Step-by-step explanation:

[tex]\sqrt{24b^{3} } . \sqrt{40b^{2} } .b^{2} = (\sqrt{24})b^{\frac{3}{2} } . (\sqrt{40})b. b^{2} \\\\= (\sqrt{24.40}).b^{\frac{3}{2} + 1 +2} \\\\= \sqrt{960} .b^{\frac{9}{2} } \\\\= 8\sqrt{15}.b^{\frac{9}{2} }[/tex]

Answer:

8b^3\sqrt[15b]

Step-by-step explanation:

I did it on Khan Academy

the ratio of the length of a rectangle to its width 3:2. Give 3 possible dimensions of the rectangle in cm

Answers

Answer:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

Step-by-step explanation:

The ratio 3:2 is length:width. This means that if you were to simplify the values by a common factor, the result would always be [tex]\frac{3}{2} = \frac{length}{width}[/tex].

To find three dimensions, pick any random three numbers and multiply one by one to both numerator and denominator:

[tex]1,2,3\\\\\frac{3}{2}(\frac{1}{1} )= \frac{3}{2} \\\\\frac{3}{2} (\frac{2}{2} )=\frac{6}{4}\\\\\frac{3}{2} (\frac{3}{3} )=\frac{9}{6}[/tex]

Convert the given ratios to length and width:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

If you were to simplify each, the result would be 3:2.

:Done

can someone help me really quickly and have a explainton for as well
[tex] |c + 4| = 6[/tex]

Answers

2 is the answer. 2+4=6.

What is DCB? (eeeeee)

Answers

Answer:

53 degrees

Step-by-step explanation:

ACB seems to be a right angle so since ACD is 37 degrees:

DCB+37=90

DCB=53

Answer:53 degrees

Step-by-step explanation:

90-37= 53


1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?

Answers

Answer:

The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.

Step-by-step explanation:

If the second line is parallel, then the gradient will be the same:

y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c

Find what c is (y-intercept) by inputting the given point into the equation (4,2):

2 =  (-[tex]\frac{3}{2}[/tex] x 4) + c

2 = -6 + c

c = 8

Indicate the formula for the following conditions.
P^c(n,r) = ?

Answers

Answer:

The answer is C(n,r) = n!/[(n-r)!r!]

Plz mark brainliest

Answer:

I think it is : n!

Step-by-step explanation:

Compute the variances in dollar amount and in percentage. (Round to the nearest whole percent.) Indicate whether the variance is favorable (F) or unfavorable (U). Budgeted Amount - Expense $255.00 Actual Amount $225.00

Answers

Answer:

Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.

The reverse is true.

Variance = Budgeted Amount - Actual amount

= 255 - 225

= $30

Percentage = Variance / Budgeted amount

= 30/255

= 11.76%

The variance is FAVORABLE because the actual amount was less than the budgeted amount.

En la biblioteca hay 400 libros. Si el 25% son de matemáticas. Cuantos libros de matemáticas hay?

Answers

Answer:

100.

Step-by-step explanation:

25%*400

=100

¡Espero que esto haya ayudado!

g(x) = 5x - 12. What is g(8)?
Your answer

Answers

Answer:

28

Step-by-step explanation:

Replace x for 8 in the equation and solve it normally

Annabella Works in a deli and has been tracking the daily sales of different items over several months Annabelle found that when there was an increase in the number of cups of hot chocolate sold the number of cups of coffee sold also increased similarly where there was a decrease in the number of cups of hot chocolate sold the number of cups of coffee also decrease which of the following is a valid conclusion

Answers

What are the conclusions?
I would assume that even though both hot chocolate and coffee increased and decreased at the same time, they are not a correlation since one doesn’t cause the other to increase/decrease

Answer:

The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.

Step-by-step explanation:

For Plato

3/7 of the students in a school are girls. If there are 64 boys find how many girls there are

Answers

Answer:

About 28

Step-by-step explanation:

Answer:90

Step-by-step explanation:Hi.

Here is your answer---

Let the number of Students in a school be x.

Thus,Number of Girls = 3/7 of the total Students

= 3/7 of x

= 3x/7

We know,

Number of Boys + Number of Girls = Total Students.

64 + 3x/7 = x

64 = x - 3x/7

64 = (7x - 3x) /7 [Taking L.C.M.]

64 × 7 = 4x

x = 60 × 7

x = 420

Total number of Students in a school is 420.

Thus, Number of Girls = 3/7 × x

= 3/7 × 420

= 90

Thus, the number of Girls in a school is 90.

______________________

Hope it helps.

Have a nice day.

On the number line, Point B is between points A and C . The distance between points A and B is 1/3 of AC. What is AB?

Answers

I think the answer is b

I think the answer is b

I think the answer is b

I think the answer is b

Jose spent $ 2.00 for 20 pieces gum and joe spent $1.50 for 10 pieces of gum who go the better deal ?

Answers

Answer:

jose

Step-by-step explanation:

2.00 ÷ 20 = 10 c

1.50 ÷ 10 = 15 c

Answer:

joe 's is better

Step-by-step explanation:

may be iam not sure

best of luck

Find the slope of the sides of the given quadrilateral from following figures.​

Answers

Answer:

side DA = side CB = slope is Undefined

side DC = side AB = slope is 0

Step-by-step explanation:

To find the slope we use the following

m = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]

The slope for side DA is the same as side CB; also their value for x value will be the same on the line; leaving the bottom of the slope equation at 0.

That means that side DA = side CB = slope Undefined

The slope for side DC is the same as side AB; also their value for y value will be the same on the line; leaving the top of the slope equation at 0.

That means that side DC = side AB = slope 0

If b(x) = negative2(x​​minus50), what is the value of b(20)?

Answers

Answer:

b(20) = 60

Step-by-step explanation:

Here, given that ;

b(x) = -2(x-50)

we want to find the value of b(20)

what we need to do is to simply substitute x for 20

That will be:

b(20) = -2(20-50)

b(20) = -2(-30)

b(20) = 60

2.5
Read the Math Notes box for this lesson, which
describes how to find the area and perimeter of a
shape. Then examine the rectangle at right. If the
perimeter of this shape is 120 cm, which equation
below represents this fact? Once you have selected
the appropriale equation, solve for c.
2.1 + 5 + 61-1= 120
4(
6-1-20
2(6x-1)+220+5)= 120
d.
(2x + 56.X-1 = 120​

Answers

Find full question attached

Answer and explanation:

The perimeter of a rectangle is the sum of all the sides of the rectangle.

From the question(attachment) we can see the length and width of the rectangle given. Therefore, to find the perimeter of the rectangle we add up the length(2 sides) and the width(2 sides).

The width = 6x +1

The length = 2x-5

Therefore the equation of the perimeter 120 :

6x-1+6x-1+2x+5+2x+5 =120

Also same thing as

2(6x-1)+2(2x+5)=120

Hence, correct option is C

Quadrilateral ABCD is shown. Two students each perform a different reflection on the original figure.

Use the drop-down menus to give the coordinates of point B' after each reflection.

Answers

Answer:

Pauline reflected the original figure over the x-axis:

The coordinates of point B will be (4,3)

Carl reflected the original figure over the y-axis:

The coordinate of points B will be (-4,-3)

When Pauline reflect the original figure over the x-axis, the coordinate of point B' will be (-2, -4). When Carl reflect the original figure over the y-axis, the coordinate of point B' will be (2, 4).

What is a reflection?

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Mathematics, a reflection over the x-axis is given by this transformation rule:

(x, y)                   →               (x, -y)

Point B = (4, -3) → Point B' = (4, 3)

In Geometry, a reflection over the y-axis of a graph is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, the coordinates of point B' after a reflection over the y-axis is as follows:

Point B = (4, -3) → Point B' = (-4, -3)

Read more on reflection here:

brainly.com/question/10260342

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If y = -30 when x = 15, what is the value of x when y = 60?

Answers

Answer:

If y = -30 when x = 15

then x = 60 when y = 60

Solve the equation for y.
3x + jy= 7

Answers

Answer:

[tex]y=\frac{7-3x}{j}[/tex]

Step-by-step explanation:

First, subtract 3x. This leaves you with jy=7-3x. Then, divide by j, leaving you with [tex]y=\frac{7-3x}{j}[/tex] .

1. Explain why the sine law cannot be used to find the length of the third side of a triangle when
the known angle is contained between the two known sides

Answers

Answer:

The law of Sines is used to determine a missing side or angle measurement

Step-by-step explanation:

When saying Sine Law, I am pretty sure you mean the Law of Sines.

This is the equation

a/sine a = b/sine b

To use the Law of Sines you need 2 angle measurements and 1 side length, or 2 side lengths and 1 angle measurements. Law of Sines is used to find the missing angle or side. Not to find the third side.

To find the length of the third side you would use pythagorean theorem.

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

Answers

Answer:

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

3x2 + 15x = 252

Is it possible for the width of the tray to be 7.5 centimeters?

no it is too large

Step-by-step explanation:

An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the width of the rectangular prism die be represented by x.

Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,

Width = x

Length = x + 5

Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,

Volume = Length × Width × Height

252 = (x + 5) × x × 3

252 = 3x(x+5)

252 = 3x² + 15x

3x² + 15x - 252 = 0

Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

Learn more about Equation:

https://brainly.com/question/2263981

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What is an equation of the line that passes through the points (4, -2) and (8,3)?

Answers

Use the equation to find the slope: m=y2-y1/x2-x1 and plug in each of the y coordinates into the numerator and each of the x coordinates in the denominator

m=-2-3/4-8
-5/-4
m=5/4

Plug in the slope and one of the ordered pairs into y=mx+b. I’ll use (8,3)

3=5/4(8)+b
3=10+b
-7=b

Equation: y=5/4x-7

plz help me its do today

Answers

Answer:

equation= y=4x+6 slope= 4 yint= 6

Step-by-step explanation:

use y2-y1/x1/x2 then look where the zero is on the table. hope this helped.

the distance between two towns is 300 km two cars start simultaneously from this towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 kilometre find the speed of the cars​

Answers

Answer: I think its 131.19, but not too sure.

Step-by-step explanation:

To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19

Do you want the speed of both cars? then the answer would be:

(300)- first car= 128.20

(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)

The school is having a dance as a fundraiser. Tickets cost $. Each

Answers

Answer:

How are we supposed to know .???

we can only see half of the problem

Step-by-step explanation:

Can u give me the rest of the question please if not this for the free point

Write an equation in point-slope form of the line that passes through the point (7,-5) with slope -1/7.

y-|_| = |_| (x-|_|

Sorry, these are boxes like fill in the blanks |_|

Answers

Answer:

y− y 1 = m ∗ ( x − x 1 )

Step-by-step explanation:

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